What is the kinetic energy of $1$ mole of a monatomic gas?

  • A
    $\frac{3}{2}RT$
  • B
    $\frac{2}{3}RT$
  • C
    $\frac{1}{2}RT$
  • D
    $\frac{2}{3}kT$

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The translational kinetic energy of the molecules of a gas at absolute temperature $T$ can be doubled by:

The total kinetic energy of translatory motion of all the molecules of $5 \, L$ of nitrogen exerting a pressure $P$ is $3000 \, J$. Which of the following statements is correct?

$A$ flask contains Hydrogen and Argon in the ratio $2:1$ by mass. The temperature of the mixture is $30^{\circ} C$. The ratio of average kinetic energy per molecule of the two gases $(K_{\text{argon}} / K_{\text{hydrogen}})$ is: (Given: Atomic weight of $Ar = 39.9$)

$Assertion$: The total translational kinetic energy of all the molecules of a given mass of an ideal gas is $1.5$ times the product of its pressure and its volume.
$Reason$: The molecules of a gas collide with each other and the velocities of the molecules change due to the collision.

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